Engineering Questions — Mathematics — JEE Main
122 solved questions with detailed explanations
Q.10. A bag contains coins – fair coins, and one coin with 'Head' on both sides. A coin is selected at random and tossed. If the probability of getting 'Head' is , then is equal to:
Q.21. Let satisfy for some . Then is equal to ________.
Q.10. If a straight line drawn through the point of intersection of the lines and , meet the co-ordinate axes at the points P and Q, then the locus of the mid point of PQ is:
Q.18. Let , , be a A. P. and be the minimum value of . Then the value of the integral is:
Q.13. The shortest distance between the lines and , , is :
Q.2. If the set of all solutions of is , then is equal to :
Q.17. The value of is:
Q.12. The sum of all the integral values of p such that the equation , , has at least one solution, is :
Q.1. Consider the relation R on the set defined by if and only if . Then among the statements : I. The number of elements in R is 17 II. R is an equivalence relation
Q.25. Let f be a twice differentiable function such that , . Then is equal to ________.